Comments on: Algorithms to find geodesics in the curve complex http://ldtopology.wordpress.com/2008/01/16/algorithms-to-find-geodesics-in-the-curve-complex/ Recent Progress and Open Problems Fri, 13 Nov 2009 03:53:54 +0000 http://wordpress.com/ hourly 1 By: Saul http://ldtopology.wordpress.com/2008/01/16/algorithms-to-find-geodesics-in-the-curve-complex/#comment-757 Saul Tue, 04 Aug 2009 04:54:24 +0000 http://ldtopology.wordpress.com/2008/01/16/algorithms-to-find-geodesics-in-the-curve-complex/#comment-757 After rereading this post, and thinking a bit, I believe that it follows from Masur and Minsky's paper "Quasiconvexity in the curve complex" that Hempel's paths are unparametrized quasi-geodesics. It seems very unlikely that his paths are geodesics - but I am unsure. ps My comment above should have mentioned that Leasure's thesis also gives a geodesic-finding algorithm. oops. After rereading this post, and thinking a bit, I believe that it follows from Masur and Minsky’s paper “Quasiconvexity in the curve complex” that Hempel’s paths are unparametrized quasi-geodesics. It seems very unlikely that his paths are geodesics – but I am unsure.

ps My comment above should have mentioned that Leasure’s thesis also gives a geodesic-finding algorithm. oops.

]]> By: Saul http://ldtopology.wordpress.com/2008/01/16/algorithms-to-find-geodesics-in-the-curve-complex/#comment-23 Saul Fri, 25 Jan 2008 15:38:09 +0000 http://ldtopology.wordpress.com/2008/01/16/algorithms-to-find-geodesics-in-the-curve-complex/#comment-23 Jason Leasure's thesis may also be of interest: http://dspace.lib.utexas.edu/handle/2152/569 Jason Leasure’s thesis may also be of interest:
http://dspace.lib.utexas.edu/handle/2152/569

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